Math Problem Statement
Evaluate the following expression. Enter your answer as an integer or a simplified fraction. 6
Solution
The expression you want to evaluate is .
To evaluate this, recall that a negative exponent means taking the reciprocal of the base and then raising it to the positive exponent. In this case:
Now, calculate :
So:
Thus, the simplified result is:
Would you like any more details or have any questions? Here are some related questions you might want to explore:
- What is ?
- How do you simplify ?
- What happens when you have a negative exponent with a fraction as the base?
- How would you evaluate ?
- What is the reciprocal of ?
Tip: A negative exponent tells you to "flip" the base and make the exponent positive!
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Math Problem Analysis
Mathematical Concepts
Exponents
Negative Exponents
Formulas
a^{-n} = 1 / a^n
Theorems
Negative Exponent Rule
Suitable Grade Level
Grades 6-8